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/* Test of ldexp*() function family.
Copyright (C) 2007-2023 Free Software Foundation, Inc.
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <https://www.gnu.org/licenses/>. */
/* Written by Bruno Haible <bruno@clisp.org>, 2007, 2010. */
static void
test_function (void)
{
int i;
volatile DOUBLE x;
volatile DOUBLE y;
/* A particular value. */
{
x = L_(0.6);
y = LDEXP (x, 0);
ASSERT (y >= L_(0.5999999999) && y <= L_(0.6000000001));
}
{
x = L_(0.6);
y = LDEXP (x, 1);
ASSERT (y >= L_(1.199999999) && y <= L_(1.200000001));
}
{
x = L_(0.6);
y = LDEXP (x, -1);
ASSERT (y >= L_(0.2999999999) && y <= L_(0.3000000001));
}
{ /* NaN. */
x = NAN;
y = LDEXP (x, 0); ASSERT (ISNAN (y));
y = LDEXP (x, 5); ASSERT (ISNAN (y));
y = LDEXP (x, -5); ASSERT (ISNAN (y));
}
{ /* Positive infinity. */
x = INFINITY;
y = LDEXP (x, 0); ASSERT (y == x);
y = LDEXP (x, 5); ASSERT (y == x);
y = LDEXP (x, -5); ASSERT (y == x);
}
{ /* Negative infinity. */
x = - INFINITY;
y = LDEXP (x, 0); ASSERT (y == x);
y = LDEXP (x, 5); ASSERT (y == x);
y = LDEXP (x, -5); ASSERT (y == x);
}
{ /* Positive zero. */
x = L_(0.0);
y = LDEXP (x, 0); ASSERT (y == x); ASSERT (!signbit (x));
y = LDEXP (x, 5); ASSERT (y == x); ASSERT (!signbit (x));
y = LDEXP (x, -5); ASSERT (y == x); ASSERT (!signbit (x));
}
{ /* Negative zero. */
x = MINUS_ZERO;
y = LDEXP (x, 0); ASSERT (y == x); ASSERT (signbit (x));
y = LDEXP (x, 5); ASSERT (y == x); ASSERT (signbit (x));
y = LDEXP (x, -5); ASSERT (y == x); ASSERT (signbit (x));
}
{ /* Positive finite number. */
x = L_(1.73205);
y = LDEXP (x, 0); ASSERT (y == x);
y = LDEXP (x, 5); ASSERT (y == x * L_(32.0));
y = LDEXP (x, -5); ASSERT (y == x * L_(0.03125));
}
{ /* Negative finite number. */
x = - L_(20.085536923187667742);
y = LDEXP (x, 0); ASSERT (y == x);
y = LDEXP (x, 5); ASSERT (y == x * L_(32.0));
y = LDEXP (x, -5); ASSERT (y == x * L_(0.03125));
}
for (i = 1, x = L_(1.73205); i <= MAX_EXP; i++, x *= L_(2.0))
{
y = LDEXP (x, 0); ASSERT (y == x);
{
volatile DOUBLE expected;
y = LDEXP (x, 5);
expected = x * L_(32.0);
ASSERT (y == expected);
}
y = LDEXP (x, -5); ASSERT (y == x * 0.03125L);
}
for (i = 1, x = L_(1.73205); i >= MIN_EXP; i--, x *= L_(0.5))
{
y = LDEXP (x, 0); ASSERT (y == x);
y = LDEXP (x, 5); ASSERT (y == x * L_(32.0));
if (i - 5 >= MIN_EXP)
{
y = LDEXP (x, -5); ASSERT (y == x * L_(0.03125));
}
}
for (; i >= LDBL_MIN_EXP - 100 && x > L_(0.0); i--, x *= L_(0.5))
{
y = LDEXP (x, 0); ASSERT (y == x);
y = LDEXP (x, 5); ASSERT (y == x * L_(32.0));
}
/* Randomized tests. */
for (i = 0; i < SIZEOF (RANDOM); i++)
{
int u, v;
x = L_(20.0) * RANDOM[i] - L_(10.0); /* -10.0 <= x <= 10.0 */
/* LDEXP only does rounding when it returns a denormalized number
or there is underflow. It doesn't happen here. */
for (u = -10; u <= 10; u++)
for (v = -10; v <= 10; v++)
ASSERT (LDEXP (x, u + v) == LDEXP (LDEXP (x, u), v));
}
}
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